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Finding the Fourth Proportional to 3,049, 4,208.58 and 1,945

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Solution

The fourth proportional to 3,049, 4,208.58 and 1,945 is: 2,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049 : 4,208.58 = 1,945 : x
  2. Step 2: Convert to fraction form
    3,049/4,208.58 = 1,945/x
  3. Step 3: Cross multiply
    3,049x = 4,208.58 × 1,945
  4. Step 4: Simplify right side
    3,049x = 8,185,688.10
  5. Step 5: Solve for x
    x = 8,185,688.10/3,049
  6. Step 6: Final answer
    x = 2,684.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.